Question

if a street sign is 3 meters tall and casts a shadow 4 meters long, then how long of a shadow will be cast by a nearby monument that is 9 meters tall? write your answer as a whole number or a decimal. do not round. meters

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the monument's shadow. Since the ratio of height to shadow length is the same for both the sign and the monument, we have \(\frac{3}{4}=\frac{9}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(3x = 4\times9\).

Step3: Solve for \(x\)

\(3x=36\), then \(x=\frac{36}{3}\).

Answer:

\(12\)